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Noncommutative deformations of quantum field theories, locality, and causality
noncommutative quantum field theory Moyal and Wick-Voros star products
2011/3/3
We investigate noncommutative deformations of quantum field theories for different star products, particularly emphasizing the locality properties and the regularity of the deformed fields.
On resonances and bound states of the 't Hooft-Polyakov monopole
resonances bound states 't Hooft-Polyakov monopole
2011/3/3
We present a systematic approach to the linearised Yang-Mills-Higgs equations in the background of a 't Hooft-Polyakov monopole and use it to unify and extend previous studies of their spectral proper...
Justification of the Dynamical Systems Method (DSM) for global homeomorphisms
The Dynamical Systems Method (DSM) surjectivity global homeomorphisms
2011/1/21
The Dynamical Systems Method (DSM) is justified for solving oper-ator equations F(u) = f, where F is a nonlinear operator in a Hilbert space H.
Input-to-state stability of interconnected hybrid systems
Stability of hybrid systems Lyapunov methods Large-scale systems
2011/2/28
We consider interconnections of arbitrary topology of several hybrid input-to-state stable (ISS) systems and study whether the ISS property is preserved by an interconnection. The small gain approach ...
On electrical correlates of Physarum polycephalum spatial activity: Can we see Physarum Machine in the dark?
Physarum polycephalum plasmodium electric potential behaviour
2010/12/28
Plasmodium of Physarum polycephalum is a single cell visible by unaided eye, which spans sources of nutrients with its protoplasmic network.In a very simple experimental setup we recorded electric pot...
Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation
Solvable Pseudo-hermitian Many-particle Quantum Systems Isospectral Deformation
2011/3/2
A class of non-Dirac-hermitian many-particle quantum systems admit-ting entirely real spectra and unitary time-evolution is presented. These quantum models are isospectral with Dirac-hermitian systems...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2011/3/2
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
Effective evolution equations from many body quantum dynamics
Effective evolution equations many body quantum dynamics
2011/2/24
In these notes we review some recent results concerning the derivation of effective
equations from first principle quantum dynamics. In particular, we discuss the derivation
of the semi-relativistic...
Conformal Invariance in Inverse Turbulent Cascades
Conformal Invariance Inverse Turbulent Cascades
2010/12/28
We study statistical properties of turbulent inverse cascades in a class of nonlinear models describ-ing a scalar field transported by a two-dimensional incompressible flow. The class is characterized...
Conductance and Thermopower of Ballistic Andreev Cavities
Conductance Thermopower of Ballistic Andreev Cavities
2010/12/28
When coupling a superconductor to a normal conducting region the physical properties of the
system are highly affected by the superconductor. We will investigate the effect of one or two
superconduc...
A mathematical framework for reducing the domain in the mechanical analysis of periodic structures
A mathematical framework mechanical analysis of periodic structures
2011/1/21
A theoretical framework is developped leading to a sound derivation of Periodic Boundary Conditions (PBCs) for the analysis of domains smaller then the Unit Cells (UCs), named reduced Unit Cells (rUCs...
We study the well-posedness of the Hele-Shaw-Cahn-Hilliard system modeling binary fluid flow in porous media with arbitrary viscosity contrast but matched density between the components. For initial d...
Comment on paper by L. M. Malyshkin and S. Boldyrev, "Magnetic dynamo action at low magnetic Prandtl numbers", PRL 105, 215002 (2010)
"Magnetic dynamo action low magnetic Prandtl numbers"
2010/12/28
Is the scaling, / Rm1/2, for the growth rate of small-scale dynamo instability at low magnetic Prandtl numbers and large magnetic Reynolds numbers, Rm, valid in the vicinity of the threshold?Our ana...
On the number of Mordell-Weil generators for cubic surfaces
cubic surfaces rational points Mordell-Weil problem Brauer-Manin
2011/1/19
Let S be a smooth cubic surface over a field K. It is well-known that new K-rational points maybe obtained from old ones by chord and tangent constructions.
urbulence damping as a measure of the flow dimensionality
urbulence damping flow dimensionality
2010/12/28
The dimensionality of turbulence in uid layers determines their properties. We study electro-
magnetically driven ows in nite depth uid layers and show that eddy viscosity, which appears as a res...